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Finding the Third Proportional to 49,236,116 and 113,972,796

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Solution

The third proportional to 49,236,116 and 113,972,796 is: 263,826,623.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,236,116 : 113,972,796 = 113,972,796 : x
  2. Step 2: Convert to fraction form
    49,236,116/113,972,796 = 113,972,796/x
  3. Step 3: Cross multiply
    49,236,116x = 113,972,796 × 113,972,796
  4. Step 4: Simplify right side
    49,236,116x = 12,989,798,228,057,616
  5. Step 5: Solve for x
    x = 12,989,798,228,057,616/49,236,116
  6. Step 6: Final answer
    x = 263,826,623.29

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.